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Finding the Fourth Proportional to 280,643, 420,702.06 and 103,102.34

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Solution

The fourth proportional to 280,643, 420,702.06 and 103,102.34 is: 154,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,643 : 420,702.06 = 103,102.34 : x
  2. Step 2: Convert to fraction form
    280,643/420,702.06 = 103,102.34/x
  3. Step 3: Cross multiply
    280,643x = 420,702.06 × 103,102.34
  4. Step 4: Simplify right side
    280,643x = 43,375,366,828.82
  5. Step 5: Solve for x
    x = 43,375,366,828.82/280,643
  6. Step 6: Final answer
    x = 154,557.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.